a. Draw a grid with x- and y-axes from −10 to +10. Plot the points P(−6, 4), Q(6, 4) and R(6, −2).
(i) Plot point S such that PQRS is a rectangle.
(ii) Write down the coordinates of S.
(iii) Draw diagonals PR and QS. What are the coordinates of their point of intersection?
(iv) What is the area of PQRS?
b. (i) On the same grid plot points M(−8, 4) and N(4, 4).
(ii) Join points MNRS. What shape have you drawn?
(iii) What is the area of MNRS?
(iv) Justify your answer to (b) (iii).
c. (i) On the same grid plot point J where point J has y-coordinate +10 and JRS forms an isosceles triangle.
(ii) Write down the coordinates of J.
(iii) What is the x-coordinate of all the points on the line of symmetry of triangle JRS?